413997 has 4 divisors (see below), whose sum is σ = 552000. Its totient is φ = 275996.

The previous prime is 413981. The next prime is 414013. The reversal of 413997 is 799314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (413981) and next prime (414013).

It is a cyclic number.

It is not a de Polignac number, because 413997 - 2⁴ = 413981 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68997 + ... + 69002.

It is an arithmetic number, because the mean of its divisors is an integer number (138000).

2⁴¹³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

413997 is a deficient number, since it is larger than the sum of its proper divisors (138003).

413997 is a wasteful number, since it uses less digits than its factorization.

413997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138002.

The product of its digits is 6804, while the sum is 33.

The square root of 413997 is about 643.4259864196. The cubic root of 413997 is about 74.5302191117.

The spelling of 413997 in words is "four hundred thirteen thousand, nine hundred ninety-seven".